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Finding the Fourth Proportional to 585,481.68, 807,964.56 and 317,209.68

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Solution

The fourth proportional to 585,481.68, 807,964.56 and 317,209.68 is: 437,749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,481.68 : 807,964.56 = 317,209.68 : x
  2. Step 2: Convert to fraction form
    585,481.68/807,964.56 = 317,209.68/x
  3. Step 3: Cross multiply
    585,481.68x = 807,964.56 × 317,209.68
  4. Step 4: Simplify right side
    585,481.68x = 256,294,179,528.94
  5. Step 5: Solve for x
    x = 256,294,179,528.94/585,481.68
  6. Step 6: Final answer
    x = 437,749.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.